Syllabus academic year 2007/2008

Higher education credits: 7,5. Grading scale: TH. Level: G2 (First level). Language of instruction: The course will be given in Swedish. FRT081 overlap following cours/es: FRT010, FRT110, FRT010 och FRT110. Alternative for: B3, K3. Optional for: B4lm, B4pt, K4p. Course coordinator: Professor Björn Wittenmark, och Dr Charlotta Johnsson,, Inst f reglerteknik. Recommended prerequisits: FMA 420 Linear Algebra, FMA410 Calculus in One Variable, FMA430 Calculus in Several Variables. The course might be cancelled if the numer of applicants is less than 10. Assessment: Written exam (5 hours), three laboratory exercises. In the case of less than five registered students, the second and third exam may be given on oral form. Further information: Swedish with extra tutorials in English. Home page:

The course, which is elective, is intended for students in year 3-4 in the Chemical Engineering and Biotechnology programmes. The aim is to give an overview of control engineering, its concepts, methods, and applications in chemical engineering.

After the couse the students should be able to formulate and understand mathematical models for dynamical systems, analyse dynamical systems, and design controllers for dynamical systems. The course is divided into three modules: modeling, analysis, and synthesis.

Control plays a major role in most parts of our society. In earlier courses the students have learnt how to model and understand system behaviour. The aim of this course is to learn the students how to make a system operator more reliable, in a more environment-friendly way, with better precision, or in a more economical way, in spite of external disturbances acting on the system. The word system has a very general interpretation. It can, for example, be a reactor, a heat exchanger, or a waste water treatment plant. The course teaches a systems-oriented way of thinking which the students can make use of in their future careers, independent of the actual application area.

Knowledge and understanding
For a passing grade the student must

Skills and abilities
For a passing grade the student must

Judgement and approach
For a passing grade the student must

Lectures: Fundamental model building and analysis of dynamical properties of chemical processes. Analysis of the properties of simple feedback control. On-off control, PID-controllers. Tools for analysis of dynamical systems, e.g. linearization. Solution of differential equations, and stability. Start -up and shut-down procedures. Synthesis of simple controllers, feed-forward, cascade and ratio control. Model-based control and analysis of multi-input multi-output systems. Methods for description and analysis of computer controlled systems.

The course contains laboratory exercises that are connected to the main topics of the course.

Wittenmark, B., Åström K.J. and Jørgensen, S.B.: Process Control (Lecture notes), LTH/KFS 1999.
Wittenmark, B.: Exercises in Process control, LTH/KFS 1999, Laborations PM, LTH/KFS 1999
Lab-PM. Collection of formula